What is the volume, in cubic millimeters, of the cone? Round your answer to the nearest hundredth.
height - 12 mm
width - 14 mm
To calculate the volume of a cone, we use the formula V = 1/3 * π * r^2 * h, where r is the radius of the base and h is the height.
In this case, we are given the width of the cone, which appears to be the diameter. To find the radius, we divide the width by 2.
radius = width/2 = 14 mm / 2 = 7 mm
Now we can substitute the values into the formula and calculate the volume:
V = 1/3 * π * (7 mm)^2 * 12 mm
V ≈ 1/3 * 3.14 * 49 mm^2 * 12 mm
V ≈ 1/3 * 3.14 * 588 mm^3
V ≈ 1.0472 * 588 mm^3
V ≈ 615.44 mm^3
Rounding to the nearest hundredth, the volume of the cone is approximately 615.44 cubic millimeters.